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Finding the Fourth Proportional to 257,194.47, 385,729.74 and 99,322.23

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Solution

The fourth proportional to 257,194.47, 385,729.74 and 99,322.23 is: 148,959.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,194.47 : 385,729.74 = 99,322.23 : x
  2. Step 2: Convert to fraction form
    257,194.47/385,729.74 = 99,322.23/x
  3. Step 3: Cross multiply
    257,194.47x = 385,729.74 × 99,322.23
  4. Step 4: Simplify right side
    257,194.47x = 38,311,537,954.12
  5. Step 5: Solve for x
    x = 38,311,537,954.12/257,194.47
  6. Step 6: Final answer
    x = 148,959.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.